Use of Non-Maximal entangled state for free space BBM92 quantum key distribution protocol

• URL: http://arxiv.org/abs/2307.02149v2
• Date: Thu, 6 Jul 2023 10:51:52 GMT
• Title: Use of Non-Maximal entangled state for free space BBM92 quantum key distribution protocol
• Authors: Ayan Biswas, Sarika Mishra, Satyajeet Patil, Anindya Banerji, Shashi Prabhakar, and Ravindra P. Singh
• Abstract summary: Satellite-based quantum communication for secure key distribution is becoming a more demanding field of research due to its unbreakable security. In entanglement-based protocols such as BB84 consider the satellite as a trusted device, fraught with danger. BBM92 protocol will be more beneficial for key distribution as we found a linear connection between the extent of violation for Bell-CHSH inequality and the quantum bit error rate for a given setup.
• Score: 1.4177373944288099
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Satellite-based quantum communication for secure key distribution is becoming a more demanding field of research due to its unbreakable security. Prepare and measure protocols such as BB84 consider the satellite as a trusted device, fraught with danger looking at the current trend for satellite-based optical communication. Therefore, entanglement-based protocols must be preferred since, along with overcoming the distance limitation, one can consider the satellite as an untrusted device too. E91 protocol is a good candidate for satellite-based quantum communication; but the key rate is low as most of the measured qubits are utilized to verify a Bell-CHSH inequality to ensure security against Eve. An entanglement-based protocol requires a maximally entangled state for more secure key distribution. The current work discusses the effect of non-maximality on secure key distribution. It establishes a lower bound on the non-maximality condition below which no secure key can be extracted. BBM92 protocol will be more beneficial for key distribution as we found a linear connection between the extent of violation for Bell-CHSH inequality and the quantum bit error rate for a given setup.

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